解题思路:
类似题目:https://www.dotcpp.com/oj/problem1639.html 题解:https://blog.dotcpp.com/a/77794
参考:http://www.voidcn.com/article/p-xlafzyov-bqa.html
注意事项:
Python用四维DP会超时
参考代码:
1.
rows, cols = map(int, input().split()) students = [[0 for _ in range(cols + 1)]] + [[0] + list(map(int, input().split())) for _ in range(rows)] dp = [[[0 for _ in range(rows + 1)] for _ in range(rows + 1)] for _ in range(rows + cols + 1)] for i in range(2, rows + cols + 1): for j in range(1, rows + 1): for k in range(1, rows + 1): temp_0, temp_1 = i - j, i - k if 1 <= temp_0 <= cols and 1 <= temp_1 <= cols: temp = students[j][temp_0] + students[k][temp_1] if j != k else students[j][temp_0] dp[i][j][k] = max(dp[i - 1][j][k], dp[i - 1][j - 1][k - 1], dp[i - 1][j][k - 1], dp[i - 1][j - 1][k]) + temp print(dp[-1][-1][-1])
2.
rows, cols = map(int, input().split()) students = [list(map(int, input().split())) for _ in range(rows)] dp = [[[0 for _ in range(rows)] for _ in range(rows)] for _ in range(rows + cols - 1)] for i in range(1, rows + cols - 1): for j in range(rows): for k in range(rows): temp_0, temp_1 = i - j, i - k if 0 <= temp_0 < cols and 0 <= temp_1 < cols: temp = students[j][temp_0] + students[k][temp_1] if j != k else students[j][temp_0] dp[i][j][k] = max(dp[i - 1][j][k], dp[i - 1][j - 1][k - 1], dp[i - 1][j][k - 1], dp[i - 1][j - 1][k]) + temp print(dp[-1][-1][-1])
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